8378772480 has 528 divisors, whose sum is σ = 31866778944. Its totient is φ = 2023096320.

The previous prime is 8378772463. The next prime is 8378772509. The reversal of 8378772480 is 842778738.

It is a happy number.

8378772480 is a `hidden beast` number, since 83 + 7 + 87 + 7 + 2 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42531742 + ... + 42531938.

It is an arithmetic number, because the mean of its divisors is an integer number (60353748).

Almost surely, 2^8378772480 is an apocalyptic number.

8378772480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8378772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15933389472).

8378772480 is an abundant number, since it is smaller than the sum of its proper divisors (23488006464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8378772480 is a wasteful number, since it uses less digits than its factorization.

8378772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The square root of 8378772480 is about 91535.6350281135. The cubic root of 8378772480 is about 2031.0789220430.

The spelling of 8378772480 in words is "eight billion, three hundred seventy-eight million, seven hundred seventy-two thousand, four hundred eighty".